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Finding the Fourth Proportional to 36,083.52, 49,792 and 20,165.76

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Solution

The fourth proportional to 36,083.52, 49,792 and 20,165.76 is: 27,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,083.52 : 49,792 = 20,165.76 : x
  2. Step 2: Convert to fraction form
    36,083.52/49,792 = 20,165.76/x
  3. Step 3: Cross multiply
    36,083.52x = 49,792 × 20,165.76
  4. Step 4: Simplify right side
    36,083.52x = 1,004,093,521.92
  5. Step 5: Solve for x
    x = 1,004,093,521.92/36,083.52
  6. Step 6: Final answer
    x = 27,826.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.